208128000 has 192 divisors, whose sum is σ = 695036160. Its totient is φ = 55296000.

The previous prime is 208127999. The next prime is 208128001. The reversal of 208128000 is 821802.

It is an interprime number because it is at equal distance from previous prime (208127999) and next prime (208128001).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (208128001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767865 + ... + 768135.

It is an arithmetic number, because the mean of its divisors is an integer number (3619980).

Almost surely, 2^208128000 is an apocalyptic number.

208128000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347518080).

208128000 is an abundant number, since it is smaller than the sum of its proper divisors (486908160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208128000 is an equidigital number, since it uses as much as digits as its factorization.

208128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 208128000 is about 14426.6420209278. The cubic root of 208128000 is about 592.6207270593.

Adding to 208128000 its reverse (821802), we get a palindrome (208949802).

The spelling of 208128000 in words is "two hundred eight million, one hundred twenty-eight thousand".